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442022240 = 25511251149
BaseRepresentation
bin11010010110001…
…011100101100000
31010210202001112002
4122112023211200
51401124202430
6111510023132
713645061402
oct3226134540
91123661462
10442022240
11207567940
12104047aa8
137076572a
14429c2b72
1528c14845
hex1a58b960

442022240 has 48 divisors (see below), whose sum is σ = 1139216400. Its totient is φ = 160734720.

The previous prime is 442022237. The next prime is 442022293. The reversal of 442022240 is 42220244.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123815 + ... + 127334.

It is an arithmetic number, because the mean of its divisors is an integer number (23733675).

Almost surely, 2442022240 is an apocalyptic number.

442022240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442022240 is an abundant number, since it is smaller than the sum of its proper divisors (697194160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442022240 is a wasteful number, since it uses less digits than its factorization.

442022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251175 (or 251167 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 442022240 is about 21024.3249594369. The cubic root of 442022240 is about 761.7539362062.

Adding to 442022240 its reverse (42220244), we get a palindrome (484242484).

The spelling of 442022240 in words is "four hundred forty-two million, twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 251149 502298 1004596 1255745 2009192 2511490 2762639 4018384 5022980 5525278 8036768 10045960 11050556 13813195 20091920 22101112 27626390 40183840 44202224 55252780 88404448 110505560 221011120 442022240